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Black and white schematic of a toroidal plasma enclosure, with field containment coils modeled as finite elements.

CourseRES.2-00234 lectures30 h

Finite Element Procedures for Solids and Structures

Klaus-Jürgen Bathe · Massachusetts Institute of Technology

Start with lecture 1 At MIT OpenCourseWare

About

Finite element analysis is now widely used for solving complex static and dynamic problems encountered in engineering and the sciences. In these two video courses, Professor K. J. Bathe, a researcher of world renown in the field of finite element analysis, teaches the basic principles used for effective finite element analysis, describes the general assumptions, and discusses the implementation of finite element procedures for linear and nonlinear analyses.

These videos were produced in 1982 and 1986 by the MIT Center for Advanced Engineering Study.

Lectures

Linear Analysis

  1. Lecture 1: Some Basic Concepts of Engineering Analysis 46 min · Video
  2. Lecture 2: Analysis of Continuous Systems 59 min · Video
  3. Lecture 3: The Displacement-Based Finite Element Method 58 min · Video
  4. Lecture 4: Generalized Coordinate Finite Element Models 57 min · Video
  5. Lecture 5: Implementation of Methods in Computer Programs 56 min · Video
  6. Lecture 6: Formulation and Calculation of Isoparametric Models 57 min · Video
  7. Lecture 7: Formulation of Structural Elements 52 min · Video
  8. Lecture 8: Numerical Integrations, Modeling Considerations 47 min · Video
  9. Lecture 9: Solution of Equilibrium Equations in Static Analysis 1 h · Video
  10. Lecture 10: Solution of Equilibrium Equations in Dynamic Analysis 56 min · Video
  11. Lecture 11: Mode Superposition Analysis; Time History 48 min · Video
  12. Lecture 12: Solution Methods for Frequencies and Mode Shapes 58 min · Video

Nonlinear Analysis

  1. Lecture 1: Introduction to Nonlinear Analysis 45 min · Video
  2. Lecture 2: Basic Considerations in Nonlinear Analysis 1 h 6 min · Video
  3. Lecture 3: Lagrangian Continuum Mechanics Variables for Analysis 1 h 19 min · Video
  4. Lecture 4: Total Lagrangian Formulation - Incremental Analysis 49 min · Video
  5. Lecture 5: Updated Lagrangian Formulation - Incremental Analysis 51 min · Video
  6. Lecture 6: Formulation of Finite Element Matrices 45 min · Video
  7. Lecture 7: 2D & 3D Solid Elements; Plane Stress/Strain Conditions 54 min · Video
  8. Lecture 8: 2-Noded Truss Element - Updated Lagrangian Formulation 33 min · Video
  9. Lecture 9: 2-Noded Truss Element - Total Lagrangian Formulation 36 min · Video
  10. Lecture 10: Solution of Nonlinear Static FE Equations I 1 h 5 min · Video
  11. Lecture 11: Solution of Nonlinear Static FE Equations II 45 min · Video
  12. Lecture 12: Demonstrative Example Solutions in Static Analysis 46 min · Video
  13. Lecture 13: Solution of Nonlinear Dynamic Response I 48 min · Video
  14. Lecture 14: Solution of Nonlinear Dynamic Response II 1 h 23 min · Video
  15. Lecture 15: Elastic Constitutive Relations in T. L. Formulation 39 min · Video
  16. Lecture 16: Elastic Constitutive Relations in U. L. Formulation 48 min · Video
  17. Lecture 17: Modeling of Elasto-Plastic and Creep Response I 1 h 12 min · Video
  18. Lecture 18: Modeling of Elasto-Plastic and Creep Response II 48 min · Video
  19. Lecture 19: Beam, Plate, and Shell Elements I 51 min · Video
  20. Lecture 20: Beam, Plate, and Shell Elements II 1 h 28 min · Video
  21. Lecture 21: Demonstration Using ADINA - Linear Analysis 37 min · Video
  22. Lecture 22: Demonstration Using ADINA - Nonlinear Analysis 32 min · Video

Syllabus and materials

At MIT OpenCourseWare, as the course publishes them.

Credits and licence

Institution
Massachusetts Institute of Technology
Department
Mechanical Engineering
Teacher
Klaus-Jürgen Bathe
Term
Spring 2010
Level
Graduate
Language
English
Subjects
Physics, Engineering
Source
MIT OpenCourseWare
Licence
CC BY-NC-SA 4.0, as MIT OpenCourseWare states it. Non-commercial use only. MIT OpenCourseWare's terms
Attribution
Klaus-Jürgen Bathe. Finite Element Procedures for Solids and Structures. Spring 2010. Massachusetts Institute of Technology: MIT OpenCourseWare, https://ocw.mit.edu/. License: Creative Commons BY-NC-SA.
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